Answer:
-108 is the correct answer
Step-by-step explanation:
=-9(10+2)
=-90+(-18)
=-90-18
= -108
Answer:
It's D or -108 (✿◠‿◠)
is dz = 2x2y3dx 3x3y2dy an exact or inexact differential?
The differential dz = 2x2y3dx + 3x3y2dy is an inexact differential.
To determine if a differential is exact or inexact, we need to compare the partial derivatives of the two terms. If the partial derivative of the first term with respect to y is equal to the partial derivative of the second term with respect to x, then the differential is exact.
For the first term, the partial derivative with respect to y is:
∂(2x2y3)/∂y = 6x2y2
For the second term, the partial derivative with respect to x is:
∂(3x3y2)/∂x = 9x2y2
Since these two partial derivatives are not equal, the differential is inexact.
Therefore, the differential dz = 2x2y3dx + 3x3y2dy is an inexact differential.
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The measure of the largest angle of a triangle is 10 more than 4 times the measure of the smallest angle. The measure of another angle is
20° more than the smallest angle.
What is the measure of the largest angle of the triangle?
the measure of the largest angle of the triangle is Largest angle = 4x + 10 = 4(25) + 10 = 110 So, the largest angle of the triangle has a measure of 110 degrees.
tLet x be the measure of the smallest angle of the triangle.
According to the problem statement, the measure of the largest angle of the triangle is 10 more than 4 times the measure of the smallest angle. Therefore, we can write:
Largest angle = 4x + 10
The measure of another angle is 20° more than the smallest angle. Therefore, we can write:
Other angle = x + 20
Since the sum of the measures of the angles in a triangle is always 180 degrees, we can write an equation based on this fact:
Smallest angle + Largest angle + Other angle = 180
Substituting the expressions we have for the largest angle and the other angle, we get:
x + (4x + 10) + (x + 20) = 180
Simplifying the expression, we get:
6x + 30 = 180
Subtracting 30 from both sides, we get:
6x = 150
Dividing both sides by 6, we get:
x = 25
Therefore, the measure of the largest angle of the triangle is:
Largest angle = 4x + 10 = 4(25) + 10 = 110
So, the largest angle of the triangle has a measure of 110 degrees.
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One source says that the average distance from the earth to the moon is 384,467 kilometers. another source says that the average distance from the earth to the moon is 384,000 kilometers. can both of these descriptions be correct, or must at least one of them be wrong? explain.
The descriptions of the average distance from the earth to the moon cannot both be correct. At least one of them must be wrong.
The average distance from the earth to the moon is a well-established scientific measurement, and it is highly unlikely for two reputable sources to provide significantly different values for such a widely known and studied parameter.
The accepted average distance from the earth to the moon is approximately 384,400 kilometers.
This value has been determined through extensive astronomical observations and measurements.
While small variations in measurements may occur due to factors like the moon's elliptical orbit, these variations are typically within a narrow range.
Therefore, a difference of 467 kilometers between the two given values is significant and suggests that at least one of the descriptions is incorrect or based on inaccurate information.
It is important to rely on reliable and authoritative sources when referring to scientific measurements like the average distance from the earth to the moon.
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What is the sum of the 10th square number and the 2nd cube number?
Answer:
100 + 27
127
bcoz 10th square no root is 10 and 2nd cube no root is 3
i need y'all help pls!!
Answer:
right one is correct explanation
can anyone help? im a lil lost
Answer:
So they just want you to solve the equation if x= -4
d(-4) = -(-4) + -4
y = 4 - 4
The solution would be 0.
Find the volume of the sphere.
Use 3.14 for T. Round your
answer to the nearest tenth.
Enter your answer in cm³ (type in
the number only without units).
7.2 cm
Answer:
I think it will help u (:
Step-by-step explanation:
Assuming the given measurement is the diameter of the sphere, we can find the radius as follows:Radius (r) = Diameter / 2 = 7.2 / 2 = 3.6 cmThe formula for the volume of a sphere is:V = (4/3) * π * r³Substituting the values, we get:V = (4/3) * 3.14 * (3.6)³
V = 4.19 * 46.656
V = 195.4 cm³Rounding this to the nearest tenth, we get:V ≈ 195.4 cm³Therefore, the volume of the sphere is approximately 195.4 cm³.
Which fractions have a decimal equivalent to a repeating decimal
Answer: 19/3
Step-by-step explanation:
If you want to find which have a decimal equivalent to a repeating decimal, all you have to do is divide each one and see which turns out to be a repeating decimal. 19 divided by 3 is 6.333333333 repeating, so it would be a repeating decimal. This is easiest to do with a calculator, but it is also important to learn how to do it by hand.
\(\bold{Hello!}\\\bold{Your~Answer~Is~Below!}\)
______________________________
\(\bold{Solution~Steps:}\)
\(1.)~Turn~the~fraction~into~a~decimal:\)
\(\bold{Reduce~the~fraction~\frac{13}{65}~to~lowest~terms~by~finding~the~GCF.}\)\(\bold{13}\) ÷ \(\bold{13=1}\)\(\bold{65}\) ÷ \(\bold{13=5}\)\(\bold{\frac{1}{5}=0.2}\)\(2.)~Turn~the~fraction~into~a~decimal:\)
\(\bold{Divide~\frac{141}{47} .}\)\(\bold{141}\) ÷ \(\bold{47=3}\)\(\bold{3=3}\)\(3.)~Turn~the~fraction~into~a~decimal:\)
\(\bold{Divide~\frac{11}{12} .}\)\(\bold{11}\) ÷ \(\bold{12=0.916666667}\)\(\bold{0.916666666=R.epeating.}\)\(4.)~Turn~the~fraction~into~a~decimal:\)
\(\bold{Divide~\frac{19}{3}.}\)\(\bold{19}\) ÷ \(\bold{3=6.33333333}\)\(\bold{6.33333333=R.epeating.}\)______________________________
\(\bold{Answer:}\)
\(\bold{The~R.epeating~decimals~are:\frac{11}{12},\frac{19}{3}.}\)______________________________
\(\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}\)
questions
5 cm
,5 cm
5 cm
- Apply What is the surface area to volume
ratio of this cube?
Answer:
idk sorry ion see a cube .
Step-by-step explanation:
American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one:
a. No, because the population distribution is skewed. b. No, because the sample size is less than 30. c. No, because the empirical rule is violated.
Therefore, probability solution is estimating this likelihood without additional data or analysis is inappropriate correct response is option a.
What exactly does the probability entail?The main goal of the mathematical branch known as statistical inference is to estimate the likelihood that a statement is accurate or that a particular event will take place. Any number among 0 and 1, where 1 typically denotes confidence and 0 typically denotes possibility, can be used to symbolise chance. A probability diagram illustrates the likelihood that a particular occurrence will take place.
Here,
Because of the skewed demographic distribution, the right response is (a).
We could use the normally distributed to compute probabilities because the length of adult American ladybirds is distributed normally with a known standard deviation. The normal distribution may not, however, correctly depict the distribution of ladybird lengths in the population due to the skewed population distribution.
Furthermore, even if the difference between the actual community mean and the assumed mean of 1 cm is tiny, the given size of the population of 440000 could result in a statistically significant outcome.
However, because the assumption of normality may not hold true, this does not imply that we can accurately determine the likelihood of a random ladybird in Raleigh being larger than 1.5 centimetres.
Therefore, estimating this likelihood without additional data or analysis is inappropriate.
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Please to this step by step with answer
Professor is grading assignments and looking at the total number of errors, regardless of what the errors are (spelling, citations, etc.), over various semesters. She looks at 150 assignments each from 5 different semesters. After inspecting them, she find that 24% of the assignments have errors.
Compute the following:
Sp (estimate of the standard deviation). Reminder: Sp= √5-(1-D)/n
upper and lower control limits for p chart (total of two values). Reminder: UC and LCL=
p+/−(3∗Sp)
The estimate of the standard deviation (Sp) for the total number of errors in assignments from various semesters is approximately 0.044996 and the upper control limit (UC) is approximately 0.374988, and the lower control limit (LCL) is approximately 0.105012 for the p chart.
To compute the estimate of the standard deviation (Sp), we need to determine the proportion of assignments with errors in each semester and calculate the overall proportion of assignments with errors.
Given:
Number of semesters (n) = 5
Total number of assignments per semester (nupper) = 150
Proportion of assignments with errors (p) = 0.24
First, we calculate the proportion of assignments with errors for each semester:
Semester 1: p1 = (150 * 0.24) / 150
= 0.24
Semester 2: p2 = (150 * 0.24) / 150
= 0.24
Semester 3: p3 = (150 * 0.24) / 150
= 0.24
Semester 4: p4 = (150 * 0.24) / 150
= 0.24
Semester 5: p5 = (150 * 0.24) / 150
= 0.24
Next, we calculate the overall proportion of assignments with errors:
p = (p1 + p2 + p3 + p4 + p5) / n
= (0.24 + 0.24 + 0.24 + 0.24 + 0.24) / 5
= 1.2 / 5
= 0.24
Now we can compute the estimate of the standard deviation (Sp):
S = √((n - 1) * (1 - p) / n)
= √((5 - 1) * (1 - 0.24) / 150)
= √(4 * 0.76 / 150)
= √(0.304 / 150)
≈ √0.0020267
≈ 0.044996
Finally, we can compute the upper control limit (UC) and lower control limit (LCL) for the p chart using the formula:
UC = p + (3 * Sp)
LCL = p - (3 * Sp)
UC = 0.24 + (3 * 0.044996)
= 0.24 + 0.134988
≈ 0.374988
LCL = 0.24 - (3 * 0.044996)
= 0.24 - 0.134988
≈ 0.105012
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Solve for x and graph the solution on the number line below.
Answer:
-6 < x < 2
see attached for a graph
Step-by-step explanation:
You want the solution to 3 > -x -3 > -5 expressed as an inequality and as a graph.
SolutionMultiplying by -1, we need to reverse the inequality symbols:
-3 < x + 3 < 5
Now, we can subtract 3 to get the solution as an inequality.
-6 < x < 2
The graph is in the attachment.
__
Additional comment
There are open circles at the boundary points because the "less than" (<) inequality means the boundary points are not included in the solution set.
can someone explain how to solve this question with steps
First we need to find the inverse function. To do this, I'd put f(x) into vertex form:
\(\begin{aligned}f(x) &= (x^2-4x)-6\\[0.5em] &= (x^2-4x+4)-6-4\\[0.5em] &= (x-2)^2-10\\[0.5em]\end{aligned}\)
Now, we can try to invert the function, keeping in mind this is only used when x≥2.
\(\begin{aligned}y&= (x-2)^2-10\\[0.5em]y+10&= (x-2)^2\\[0.5em]\sqrt{y+10}&= x-2\\[0.5em]\sqrt{y+10}+2&= x\\[0.5em]\end{aligned}\)
(The fact that x ≥ 2 allowed us only keep the positive square root on the third line.)
So our inverse function is \(f^{-1}(y)=\sqrt{y+10}+2\).
Now, let's find the derivative of this function:
\(\begin{aligned}\dfrac{df^{-1}}{dy}&= \dfrac{1}{2\sqrt{y+10}}\cdot\dfrac{d}{dy}[y+10]\\[0.5em] &= \dfrac{1}{2\sqrt{y+10}}\end{aligned}\\\)
(The chain rule was used, but the derivative of the inside function equals 1.)
So \((f^{-1})'(-6) = \dfrac{1}{2\sqrt{-6+10}} = \dfrac{1}{4}\)
Now having done all of that, it did cross my mind that since \(f\) and \(f^{-1}\) are simply reflections over the line y=x, if we had actually just found f'(4) and then used the reciprocal slope, we'd also get the same answer more quickly.
f'(x) = 2x - 4
when y = -6, then x = 4 (by solving f(x) = -6).
f'(4) = 4, so reflecting that slope of 4/1 over the line y=x, we'd get a slope of 1/4.
Use the divergence theorem to compute the net outward flux of the vector field f across the boundary of the region d. F= 32-x,x - 5y,7y +9z
Using the divergence theorem we can compute that the outward flux of the vector field is 16π .
The outward flux of F over the solid cylinder and z = 0 is
∫∫F·ds = ∫∫∫ DivF dv
F = 2xy² i + 2x²y j + 2xy k
Div F = D/dx (2xy²) + D/dy (2x²y )
Div F = 2y² + 2x²
In cylindrical coordinates dV = rdrdθdz and as z = 0 the region is a surface ds = r·dr·dθ
Using the parametric form of the surface equation
x = rcosθ y = r sinθ and z = z
Div F = 2r² sin²θ + 2r²cos²θ
∫∫∫ DivF dv = ∫∫ [2r²sin²θ + 2r²cos²θ] × rdrdθ
∫∫ 2r² [sin²θ + cos²θ] × rdrdθdz ⇒ ∫∫ 2r³ drdθ
Integration limits
0 < r < 2 0 < θ < 2π
2∫₀² r³ ∫dθ
(2/4) × (2)⁴ × 2π
The divergence theorem, commonly known as Gauss' theorem or Ostrogradsky's theorem, is a theorem that connects the flow of a vector field across a closed surface to the field's divergence in the volume enclosed.
In more detail, the divergence theorem states that the surface integral of a vector field across a closed surface, sometimes referred to as the "flux" through the surface, is equal to the volume integral of the divergence over the region inside the surface.
Therefore the flux is 16π .
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The measure of one of the smaller base angles of an isosceles trapezoid is $60^\circ$. The shorter base is 5 inches long and the altitude is $2 \sqrt{3}$ inches long. What is the number of inches in the perimeter of the trapezoid?
Answer:
22
Step-by-step explanation:
go answer my last q please and if u answer this q just for the points i will report u
Answer:
ok i will go on you last q
Step-by-step explanation:
Two points are chosen at random on a circle. What is the probability that the distance between them is more than the radius of the circle?
The probability that the distance between them is more than the radius of the circle is given as follows:
0.5 = 50%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
For the circle, we have that the radius is the distance between any point on the circumference of the circle, and the center.
The largest distance is the diameter, which is the distance between two points on the circumference of the circle, passing through the center.
The diameter is twice the radius, hence the probability is given as follows:
p = r/2r
p = 1/2
p = 0.5 = 50%.
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Solve for d -6 = d/3
21
-21
18
-18
Find the monomial if the expression is the cube of that monomial.
−0.001a
The monomial of the expression given the cube of that monomial -0.001a^(3n+3) is; x = (-1/10)a^(n + 1)
How to find the monomial of a polynomial expression?A monomial is defined as a polynomial, that has only one term. A monomial is also defined as an algebraic expression possessing a single term but can as well possess multiple variables as well as a higher degree also.
We are given the expression;
x³ = -0.001a^(3n + 3)
Now, -0.001 can also be expressed as -1/10³. Thus, we have;
x³ = (-1/10³)a^(3n + 3)
Factorizing the exponent gives;
x³ = (-1/10³)a^[3(n + 1)]
Since the terms are both cubed, then we can write as;
x³ = [(-1/10)a^(n + 1)]^3
Taking the cube root of both sides gives us;
x = (-1/10)a^(n + 1)
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The complete question is;
Find the monomial if the expression is the cube of that monomial -0.001a^(3n+3)
Put the following equation of a line into slope-intercept form. 12x-4y=12 Must be FULLY SIMPLIFIED.
The slope intercept form has the next form
\(y=mx+b\)We have
\(12x-4y=12\)we need to isolate the y
\(-4y=-12x+12\)\(y=\frac{-12}{-4}x+\frac{12}{4}\)\(y=3x-3\)ANSWER
y=3x-3
NEED HELP ASAP!!!!!!!
Select all the ordered pairs that are solutions to 3x - y = 1.
A. (-2,-7)
B. (-1,-4)
C. (0, 1)
D. (3,8)
E. (4,2)
Answer:
A, B, and D
Step-by-step explanation:
Substitute all the coordinates into the equation. (x, y)
3(-2) - (-7) = 1
-6 - (-7) = 1
1 = 1
3(-1) - (-4) =1
-3 - (-4) = 1
1 = 1
3(0) - (1) = 1
0 - (1) = 1
-1 does not equal 1
3(3) - (8) = 1
9 - (8) = 1
1 = 1
A group of 75 math students were asked whether they
like algebra and whether they like geometry. A total of
45 students like algebra, 53 like geometry, and 6 do
not like either subject.
Algebra vs. Geometry
Likes Algebra
Does Not
Like Algebra
Total
Likes
Geometry
Mark this and return
a
3
53
Does Not
Like Geometry
b
6
e
Total
45
P
75
What are the correct values of a, b, c, d, and e?
a 16, b = 29, c = 22, d = 30, e = 24
a = 29, b = 16, c = 30, d = 22, e = 24
a 16, b = 29, c = 24, d = 22, e = 30
H
a = 29, b = 16, c = 24, d = 30, e = 22
The correct values for a, b, c, d, and e are a = 16, b = 29, c = 24, d = 22, and e = 30 for group of 75 students on asking whether they like Algebra or Geometry.
For the values of a, b, c, d, and e, we can use the information provided in the table. Let's break it down step-by-step:
We are given that a total of 75 math students were surveyed. Therefore, the total number of students should be equal to the sum of the students who like algebra, the students who like geometry, and the students who do not like either subject.
75 = 45 (Likes Algebra) + 53 (Likes Geometry) + 6 (Does Not Like Either)
Simplifying this equation, we have:
75 = 98 + 6
75 = 104
This equation is incorrect, so we can eliminate options c and d.
Now, let's look at the information given for the students who do not like geometry. We know that a + b = 6, where a represents the number of students who like algebra and do not like geometry, and b represents the number of students who do not like algebra and do not like geometry.
Using the correct values for a and b, we have:
16 + b = 6
b = 6 - 16
b = -10
Since we can't have a negative value for the number of students, option a is also incorrect.
The remaining option is option e, where a = 29, b = 16, c = 24, d = 22, and e = 30. Let's verify if these values satisfy all the given conditions.
Likes Algebra: a + c = 29 + 24 = 53 (Matches the given value)
Does Not Like Algebra: b + d = 16 + 22 = 38 (Matches the given value)
Likes Geometry: c + d = 24 + 22 = 46 (Matches the given value)
Does Not Like Geometry: b + e = 16 + 30 = 46 (Matches the given value)
All the values satisfy the given conditions, confirming that option e (a = 29, b = 16, c = 24, d = 22, and e = 30) is the correct answer.
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Eugenuity Qui
How would 5,682,450,003 be written in expanded form?
Answer:
Step-by-step explanation:
Write 5,325 in Expanded Number Form
Standard Form:
5,325
Expanded Form:
5,000 + 300 + 20 + 5 = 5,325
Expanded Factors Form:
(5 × 1,000) + (3 × 100) + (2 × 10) + (5 × 1) = 5,325
Expanded Exponential Form:
(5 × 103) + (3 × 102) + (2 × 101) + (5 × 100) = 5,325
Word Form:
five thousand, three hundred twenty-five
On 1 October 2015 Karen purchased freehold land and buildings for £480,000, of which the land element was £80,000. The buildings had a useful life of 25 years at the date of purchase. The residual value was nil.
On 1 October 2020 the land and buildings were revalued to £500,000, of which the land element was £100,000. There was no change in the useful life of the property.
According to IAS 16 Property, Plant and Equipment, what should be the depreciation charge for the year ended 30 September 2021 and the balance on the revaluation surplus as at that date?
A Depreciation charge £16,000; revaluation surplus £100,000
B Depreciation charge £20,000; revaluation surplus £100,000
C Depreciation charge £25,000; revaluation surplus £116,000
D Depreciation charge £20,000; revaluation surplus £116,000
Accoding to the calculations , the correct answer is:
A) Depreciation charge 16,000; revaluation surplus £20,000
According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.
In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).
To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:
£400,000 / 25 = £16,000
Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.
Now, let's calculate the balance on the revaluation surplus as at that date.
The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).
Revaluation surplus = Fair value - Carrying amount
Revaluation surplus = £500,000 - £480,000
Revaluation surplus = £20,000
Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.
Based on the calculations above, the correct answer is:
A) Depreciation charge £16,000; revaluation surplus £20,000
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I NEED HELP ASAP Write the absolute value equations in the form x−b=c (where b is a number and c can be either number or an expression) that have the following solution set all numbers such that x>=5
The solution is,
the center of the segment is 1/2- 5/12 = 1/12
Thus the value of "b" is found: it is b =1/12 .
Then the value of "c" is c =1/2 - 1/12 = 5/12.
Here, we have,
Inequalities represent relationships between two expressions, in which one expression is not necessarily to another. An inequality (x < a, x > a, x ≤ a, x ≥ a) is represented by the following difference expression:
x - a = b (2)
Where b have the following cases:
If x < a, then b < 0.
If x > a, then b > 0.
If x ≤ a, then b ≤ 0.
If x ≥ a, then b ≥ 0.
The problem asks to find the values "b" and "c" in a way that
the solutions of the equation |x - b| = c are x= 1/2 and x= -1/3.
It means that "b" is the center of the segment [-1/3, 1/2].
This segment has the length 5/6
Hence, the half of this length is 5/2 .
Therefore, the center of the segment is 1/2- 5/12 = 1/12
Thus the value of "b" is found: it is b =1/12 .
Then the value of "c" is c =1/2 - 1/12 = 5/12.
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The perimeter of a rectangular lawn i 50 meter. It' 16 meter long how wide i it?
The width of the rectangle is 9 meter.
Now, According to the question:
The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.
Now, Solving the problem:
Perimeter of rectangle is 50 meter sq.
Length of the rectangle(L) is 16 meter.
We have to find the width (W) of the rectangle.
We know that,
Perimeter of rectangle is = 2 (L + W)
50 = 2(16 + W)
50 = 32 + 2W
2W = 50 - 32
2W = 18
W = 18/2
W = 9
Hence, The width of the rectangle is 9 meter.
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Please help me with this question.
HELPPPP. debra deposits $600 into an account that pays simple intest at a rate of 5% per year. how much ibttest will she be paid in the forst 2 years.
Answer:
$660
Step-by-step explanation: 5% per year
5x2= 10%
percent is always out of 100
100+10=110 110 divided by 100= 1.10
600x1.10= $660
Zach is playing a video game. A penalty in Jupiter Battle is loss of 7 power points. Zach lost a total of 49 power points. How many times was Zach penalized
Answer:
Number of penalties= 7
Step-by-step explanation:
Giving the following information:
A penalty in Jupiter Battle is a loss of 7 power points. Zach lost a total of 49 power points.
To calculate the number of penalties, we need to use the following formula:
Number of penalties= total point lost / 7
Number of penalties= 49/7
Number of penalties= 7